Concept
Fields Medal
Related publications (32)
Some Mordell-Weil lattices and applications to sphere packings
We provide new explicit examples of lattice sphere packings in dimensions 54, 55, 162, 163, 486 and 487 that are the densest known so far, using Kummer families of elliptic curves over global function fields.In some cases, these families of elliptic curves ...
EPFL2024On rationally connected varieties over C1 fields of characteristic 0
We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic 0 is a consequence of the existence of rational points on terminal Fano varieties. We discuss several consequenc ...
MATHEMATICAL SCIENCE PUBL2022Roadmap on Machine learning in electronic structure
Michele Ceriotti, Jigyasa Nigam, Andrea Grisafi, Max David Veit
In recent years, we have been witnessing a paradigm shift in computational materials science. In fact, traditional methods, mostly developed in the second half of the XXth century, are being complemented, extended, and sometimes even completely replaced by ...
IOP Publishing Ltd2022Perturbed Fourier uniqueness and interpolation results in higher dimensions
Joao Pedro Gonçalves Ramos, Martin Peter Stoller
We obtain new Fourier interpolation and uniqueness results in all dimensions, extending methods and results by the first author and M. Sousa [11] and the second author [12]. We show that the only Schwartz function which, together with its Fourier transform ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022Designing cities in a changing world. Opening words
Elena Cogato Lanza, Martina Barcelloni Corte
The Seminar is addressed to doctoral students in the fields of Architecture, Urbanism, Global Health & Humanities and Social Sciences, interested in the use of the One Health concept (OH) as a tool to tackle urban themes (the city, the territory and the wa ...
2021Shrinking Scale Equidistribution for Monochromatic Random Waves on Compact Manifolds
We prove equidistribution at shrinking scales for the monochromatic ensemble on a compact Riemannian manifold of any dimension. This ensemble on an arbitrary manifold takes a slowly growing spectral window in order to synthesize a random function. With hig ...
OXFORD UNIV PRESS2021Computing Cyclic Isogenies between Principally Polarized Abelian Varieties over Finite Fields
Abelian varieties are fascinating objects, combining the fields of geometry and arithmetic. While the interest in abelian varieties has long time been of purely theoretic nature, they saw their first real-world application in cryptography in the mid 1980's ...
EPFL2020Physics of optically driven nanojunctions
Recent years have seen spectacular developments in the domain of nano-optics.
Alongside the well-known techniques of super-resolution microscopy progress
in nanofabrication has enabled important improvements in the fields
of optical imaging and spectros ...
EPFL2020A Covariance Formula For Topological Events Of Smooth Gaussian Fields
We derive a covariance formula for the class of 'topological events' of smooth Gaussian fields on manifolds; these are events that depend only on the topology of the level sets of the field, for example, (i) crossing events for level or excursion sets, (ii ...
INST MATHEMATICAL STATISTICS2020Representations and descriptors unifying the study of molecular and bulk systems
Establishing a unified framework for describing the structures of molecular and periodic systems is a long-standing challenge in physics, chemistry, and material science. With the rise of machine learning methods in these fields, there is a growing need fo ...
WILEY2019